Author:
Kajiwara Joji,Sakai Eiichi
Abstract
As Fuks [3] stated, every domain of holomorphy or meromorphy over Cn is analytically convex in the sense of Hartogs. Oka [6] proved that every domain over Cn analytically convex in the sense of Hartogs is a domain of holomorphy. Therefore a domain of meromorphy over Cn coincides with a domain of holomorphy over Cn.
Publisher
Cambridge University Press (CUP)
Reference8 articles.
1. On the continuation theorem of Levi and the radius of meromorphy;Okuda;Mem. Fac. Sci. Kyushu Univ. (A),1957
2. Ideals of meromorphic functions of several complex variables
3. Levisches Problem und Rungescher Satz f�r Teilgebiete Steinscher Mannigfaltigkeiten
4. Sur les fonctions analytiques de plusieur variables IX: Domaines finis sans point critique intérieur;Oka;Jap. J. Math.,1953
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